GCF of 6126/312, 9487/9696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6126/312, 9487/9696 i.e 1/126048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6126/312, 9487/9696.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6126/312,9487/9696?
Given fractions are 6126/312,9487/9696
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6126/312,9487/9696, numerators are 6126,9487
Denominators are 312,9696
The GCF of 6126,9487 is 1 .
LCM of 312,9696 is 126048.
The greatest common factor of 6126/312,9487/9696 = [GCF of 6126,9487]/[LCM of 312,9696]= 1/126048
Therefore, the GCF of 6126/312,9487/9696 is 1/126048.
To find the highest common factor of 6126,9487, we have to find the factors of both numbers and list the highest common factor.
The factors of 6126 are 1, 2, 3, 6, 1021, 2042, 3063, 6126
The factors of 9487 are 1, 53, 179, 9487
The HCF of 6126,9487 is 1.
Lets's calculate GCF of 6126,9487
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6126,9487 By Matching Biggest Common Factor Method
Now, list down the factors of 6126
:1,2,3,6,1021,2042,3063,6126
Now, list down the factors of 9487
:1,53,179,9487
Greatest Common Factor
We found the factors 6126,9487 . The biggest common factor number is the GCF number.
So the greatest common factor 6126,9487 is 1.
Lets's calculate LCM of 312,9696
| 2 | 312, 9696 |
| 2 | 156, 4848 |
| 2 | 78, 2424 |
| 3 | 39, 1212 |
| 13, 404 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 404 = 126048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126048
Therefore, the GCF of Fractions 6126/312,9487/9696 is 1/126048
Least Common Multiple of 312,9696 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 312,9696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,9696) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(312,9696) x common factors =24 x 1 = 24
LCM(312,9696) = ( 312 × 9696 ) / 24
LCM(312,9696) = 3025152 / 24
LCM(312,9696) = 126048
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6126/312, 9487/9696
1. What is the HCF of 6126,9487?
The HCF of 6126,9487 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6126/312, 9487/9696?
Answer: GCF of Numerators as per given numbers 6126/312, 9487/9696 is
GCF of Numerators i.e. for 6126,9487 is 1
LCM of denominators i.e. for 312,9696 is 126048.
Thus, GCF of Fractions is 1/126048.Finally, GCF of Fractions for 6126/312, 9487/9696 is 1/126048.